Imagine that a stream of fluid in steady-state flow serves as a heat source for an infinite set of Carnot engines, each of which absorbs a differential amount of heat from the fluid, causing its temperature to decrease by a differential amount, and each of which rejects a differential amount of heat to a heat reservoir at temperature T. As a result of the operation of the Carnot engines, the temperature of the fluid decreases from T1 to T2. Equation (5.8) applies here in differential form, wherein is defined as: dW/dQ where Q is heat transfer with respect to the flowing fluid. Show that the total work of the Carnot engines is given by: W=QTS where S and Q both refer to the fluid. In a particular case, the fluid is an ideal gas, with CP=(7/2)R, and the operating temperatures are T1=600K and T2=400K. If T=300K, what is the value of W in Jmol1 ? How much heat is discarded to the heat reservoir at T ? What is the entropy change of the heat reservoir? What is Stotal